Multiple choice

A and B earn in the ratio 2 : 1. They spend in the ratio 5 : 3 and save in the ratio 4 : 1. If the total monthly savings of both A and B are Rs. 5,000, the monthly income of B is

  1. Rs. 7,000

  2. Rs. 14,000

  3. Rs. 5,000

  4. Rs. 10,000
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A Correct answer
Explanation

Let incomes be 2x and x. Savings are 4y and y. Expenses are 5k and 3k. Income - Savings = Expenses. 2x - 4y = 5k and x - y = 3k. Solving the system with 4y + y = 5000 (y=1000) leads to x = 7000.

AI explanation

Let A's income be 2x and B's income be x; their expenditures are 5y and 3y, making their savings (2x - 5y) and (x - 3y). Given the savings ratio is 4:1, we have (2x - 5y) / (x - 3y) = 4 / 1, which solves to 2x = 7y. The total savings of 5000 equals 5 parts, so A's saving is 4000 and B's saving is 1000; substituting B's saving gives x - 3y = 1000. Solving the system gives B's income x as Rs. 7000.

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